Static Viscosity Calculation using Chapman-Rubesin Factor Calculator

✖The Density is the mass per unit volume of a substance, which influences fluid behavior and thermal properties in hypersonic flow and aero thermal dynamics.ⓘ Density [ρ]			+10% -10%
✖The Kinematic Viscosity is a measure of a fluid's resistance to flow under the influence of gravity, reflecting its internal friction and temperature dependence.ⓘ Kinematic Viscosity [ν]			+10% -10%
✖The Chapman–Rubesin factor is a dimensionless quantity used in fluid mechanics to characterize the effects of viscosity in hypersonic flow conditions.ⓘ Chapman–Rubesin factor [C]			+10% -10%
✖The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in various engineering applications, especially in hypersonic flow dynamics.ⓘ Static Density [ρ_e]			+10% -10%

✖The Static Viscosity is a measure of a fluid's resistance to flow under an applied stress, crucial for understanding fluid behavior in various mechanical and thermal applications.ⓘ Static Viscosity Calculation using Chapman-Rubesin Factor [μ_e]

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Static Viscosity Calculation using Chapman-Rubesin Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Viscosity = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Density)
μ_e = (ρ*ν)/(C*ρ_e)
This formula uses 5 Variables

Variables Used

Static Viscosity - (Measured in Pascal Second) - The Static Viscosity is a measure of a fluid's resistance to flow under an applied stress, crucial for understanding fluid behavior in various mechanical and thermal applications.
Density - (Measured in Kilogram per Cubic Meter) - The Density is the mass per unit volume of a substance, which influences fluid behavior and thermal properties in hypersonic flow and aero thermal dynamics.
Kinematic Viscosity - (Measured in Square Meter per Second) - The Kinematic Viscosity is a measure of a fluid's resistance to flow under the influence of gravity, reflecting its internal friction and temperature dependence.
Chapman–Rubesin factor - The Chapman–Rubesin factor is a dimensionless quantity used in fluid mechanics to characterize the effects of viscosity in hypersonic flow conditions.
Static Density - (Measured in Kilogram per Cubic Meter) - The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in various engineering applications, especially in hypersonic flow dynamics.

STEP 1: Convert Input(s) to Base Unit

Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Chapman–Rubesin factor: 0.75 --> No Conversion Required
Static Density: 98.3 Kilogram per Cubic Meter --> 98.3 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_e = (ρ*ν)/(C*ρ_e) --> (997*0.000725)/(0.75*98.3)

Evaluating ... ...

μ_e = 0.00980434045439132

STEP 3: Convert Result to Output's Unit

0.00980434045439132 Pascal Second -->0.0980434045439132 Poise (Check conversion here)

FINAL ANSWER

0.0980434045439132 ≈ 0.098043 Poise <-- Static Viscosity

(Calculation completed in 00.004 seconds)

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< Aero Thermal Dynamics Calculators

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Static Viscosity Calculation using Chapman-Rubesin Factor Formula

LaTeX Go

Static Viscosity = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Density)
μ_e = (ρ*ν)/(C*ρ_e)

What is Chapman–Rubesin factor?

In their analysis, Chapman and Rubesin assumed a linear relationship between the coefficient of dynamic viscosity and temperature, where the constant of proportionality (C) is chosen such that the correct value for viscosity near the surface is obtained.

How to Calculate Static Viscosity Calculation using Chapman-Rubesin Factor?

Static Viscosity Calculation using Chapman-Rubesin Factor calculator uses Static Viscosity = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Density) to calculate the Static Viscosity, Static Viscosity Calculation using Chapman-Rubesin Factor formula is a measure of the dynamic viscosity of a fluid, which is the resistance to shear stress, calculated using the density of the fluid, kinematic viscosity, and the Chapman-Rubesin factor, providing a precise value for engineering and scientific applications. Static Viscosity is denoted by μ_e symbol.

How to calculate Static Viscosity Calculation using Chapman-Rubesin Factor using this online calculator? To use this online calculator for Static Viscosity Calculation using Chapman-Rubesin Factor, enter Density (ρ), Kinematic Viscosity (ν), Chapman–Rubesin factor (C) & Static Density (ρ_e) and hit the calculate button. Here is how the Static Viscosity Calculation using Chapman-Rubesin Factor calculation can be explained with given input values -> 0.980434 = (997*0.000725)/(0.75*98.3).

FAQ

What is Static Viscosity Calculation using Chapman-Rubesin Factor?

Static Viscosity Calculation using Chapman-Rubesin Factor formula is a measure of the dynamic viscosity of a fluid, which is the resistance to shear stress, calculated using the density of the fluid, kinematic viscosity, and the Chapman-Rubesin factor, providing a precise value for engineering and scientific applications and is represented as μ_e = (ρ*ν)/(C*ρ_e) or Static Viscosity = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Density). The Density is the mass per unit volume of a substance, which influences fluid behavior and thermal properties in hypersonic flow and aero thermal dynamics, The Kinematic Viscosity is a measure of a fluid's resistance to flow under the influence of gravity, reflecting its internal friction and temperature dependence, The Chapman–Rubesin factor is a dimensionless quantity used in fluid mechanics to characterize the effects of viscosity in hypersonic flow conditions & The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in various engineering applications, especially in hypersonic flow dynamics.

How to calculate Static Viscosity Calculation using Chapman-Rubesin Factor?

Static Viscosity Calculation using Chapman-Rubesin Factor formula is a measure of the dynamic viscosity of a fluid, which is the resistance to shear stress, calculated using the density of the fluid, kinematic viscosity, and the Chapman-Rubesin factor, providing a precise value for engineering and scientific applications is calculated using Static Viscosity = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Density). To calculate Static Viscosity Calculation using Chapman-Rubesin Factor, you need Density (ρ), Kinematic Viscosity (ν), Chapman–Rubesin factor (C) & Static Density (ρ_e). With our tool, you need to enter the respective value for Density, Kinematic Viscosity, Chapman–Rubesin factor & Static Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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